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Simplifying 6(8x + -3) + -6(8 + -2x) + 6(-9 + 9) = -10(3 + -7x) Reorder the terms: 6(-3 + 8x) + -6(8 + -2x) + 6(-9 + 9) = -10(3 + -7x) (-3 * 6 + 8x * 6) + -6(8 + -2x) + 6(-9 + 9) = -10(3 + -7x) (-18 + 48x) + -6(8 + -2x) + 6(-9 + 9) = -10(3 + -7x) -18 + 48x + (8 * -6 + -2x * -6) + 6(-9 + 9) = -10(3 + -7x) -18 + 48x + (-48 + 12x) + 6(-9 + 9) = -10(3 + -7x) Combine like terms: -9 + 9 = 0 -18 + 48x + -48 + 12x + 6(0) = -10(3 + -7x) Multiply 6 * 0 -18 + 48x + -48 + 12x + 0 = -10(3 + -7x) Anything times zero is zero. -18 + 48x + -48 + 12x + 0 = -10(3 + -7x) Reorder the terms: -18 + -48 + 0 + 48x + 12x = -10(3 + -7x) Combine like terms: -18 + -48 = -66 -66 + 0 + 48x + 12x = -10(3 + -7x) Combine like terms: -66 + 0 = -66 -66 + 48x + 12x = -10(3 + -7x) Combine like terms: 48x + 12x = 60x -66 + 60x = -10(3 + -7x) -66 + 60x = (3 * -10 + -7x * -10) -66 + 60x = (-30 + 70x) Solving -66 + 60x = -30 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -66 + 60x + -70x = -30 + 70x + -70x Combine like terms: 60x + -70x = -10x -66 + -10x = -30 + 70x + -70x Combine like terms: 70x + -70x = 0 -66 + -10x = -30 + 0 -66 + -10x = -30 Add '66' to each side of the equation. -66 + 66 + -10x = -30 + 66 Combine like terms: -66 + 66 = 0 0 + -10x = -30 + 66 -10x = -30 + 66 Combine like terms: -30 + 66 = 36 -10x = 36 Divide each side by '-10'. x = -3.6 Simplifying x = -3.6
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